0.7a-0.6(60+a)=-0.5(60)

Solution for 0.7a-0.6(60+a)=-0.5(60) equation:

Simplifying
0.7a + -0.6(60 + a) = -0.5(60)
0.7a + (60 * -0.6 + a * -0.6) = -0.5(60)
0.7a + (-36 + -0.6a) = -0.5(60)

Reorder the terms:
-36 + 0.7a + -0.6a = -0.5(60)

Combine like terms: 0.7a + -0.6a = 0.1a
-36 + 0.1a = -0.5(60)

Multiply -0.5 * 60
-36 + 0.1a = -30

Solving
-36 + 0.1a = -30

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '36' to each side of the equation.
-36 + 36 + 0.1a = -30 + 36

Combine like terms: -36 + 36 = 0
0 + 0.1a = -30 + 36
0.1a = -30 + 36

Combine like terms: -30 + 36 = 6
0.1a = 6

Divide each side by '0.1'.
a = 60

Simplifying
a = 60